8383302144 has 320 divisors, whose sum is σ = 29065639680. Its totient is φ = 2335703040.

The previous prime is 8383302143. The next prime is 8383302197. The reversal of 8383302144 is 4412033838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8383302099 and 8383302108.

It is not an unprimeable number, because it can be changed into a prime (8383302143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3966432 + ... + 3968544.

It is an arithmetic number, because the mean of its divisors is an integer number (90830124).

Almost surely, 2^8383302144 is an apocalyptic number.

8383302144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8383302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532819840).

8383302144 is an abundant number, since it is smaller than the sum of its proper divisors (20682337536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8383302144 is a wasteful number, since it uses less digits than its factorization.

8383302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8383302144 is about 91560.3743111615. The cubic root of 8383302144 is about 2031.4448645761. Note that the first 3 decimals are identical.

The spelling of 8383302144 in words is "eight billion, three hundred eighty-three million, three hundred two thousand, one hundred forty-four".